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Finding the Fourth Proportional to 10,293.26, 14,203.20 and 5,756

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Solution

The fourth proportional to 10,293.26, 14,203.20 and 5,756 is: 7,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.26 : 14,203.20 = 5,756 : x
  2. Step 2: Convert to fraction form
    10,293.26/14,203.20 = 5,756/x
  3. Step 3: Cross multiply
    10,293.26x = 14,203.20 × 5,756
  4. Step 4: Simplify right side
    10,293.26x = 81,753,619.20
  5. Step 5: Solve for x
    x = 81,753,619.20/10,293.26
  6. Step 6: Final answer
    x = 7,942.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.